Nonlinear Computational Geometry (Hardcover, 2010 ed.)

An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	The IMA Volumes in Mathematics and its Applications, 151
Release date:	December 2009
First published:	2010
Editors:	Ioannis Z. Emiris • Frank Sottile • Thorsten Theobald
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	239
Edition:	2010 ed.
ISBN-13:	978-1-4419-0998-5
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	1-4419-0998-2
Barcode:	9781441909985

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